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TECHNICAL PAPERS

Adaptive Control of Multi-Plane Active Balancing Systems for Speed-Varying Rotors

[+] Author and Article Information
Kwang-Keun Shin

General Motors Corporation, MC 480-106-390, 30500 Mound Road, P.O. Box 9055, Warren, MI 48090-9055e-mail: kwang-keun.shin@gm.com

Jun Ni

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, MI 48109e-mail: junni@engin.umich.edu

J. Dyn. Sys., Meas., Control 125(3), 372-381 (Sep 18, 2003) (10 pages) doi:10.1115/1.1590679 History: Received August 16, 2001; Revised January 21, 2003; Online September 18, 2003
Copyright © 2003 by ASME
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References

Van de Vegte,  J., 1964, “Continuous Automatic Balancing of Rotating System,” J. Mech. Eng. Sci., 6, pp. 264–269.
Van de Vegte,  J., 1978, “Balancing of Rotating System during Operation,” J. Sound Vib., 57, pp. 225–235.
Gosiewski,  Z., 1985, “Automatic Balancing of Flexible Rotors, Part I: Theoretical Background,” J. Sound Vib., 100, pp. 551–567.
Gosiewski,  Z., 1987, “Automatic Balancing of Flexible Rotors, Part II: Synthesis of System,” J. Sound Vib., 114, pp. 103–119.
Lee,  C., and Kim,  Y., 1987, “Modal Balancing of Flexible Rotors during Operation: Design and Manual Operation of Balancing Head,” Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci., 201, pp. 349–355.
Lee,  C., and Kim,  Y., 1990, “Automatic Modal Balancing of Flexible Rotors during Operation: Computer Controlled Balancing Head,” Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci., 204, pp. 19–27.
Knospe,  C., Hope,  R., Tamer,  S., and Fedigan,  S., 1996, “Robustness of Adaptive Unbalance Control of Rotors with Magnetic Bearings,” J. Vib. Control, 2, pp. 33–52.
Dyer, S., and Ni, J., 1999, “Adaptive Influence-Coefficient Control of Single-Plane Active Balancing Systems,” ASME-IMECE, Symposium on Sensors and Controls, Nashville, TN, Paper No. 98-k-1345(symp).
Shin, K., and Ni, J., 2000, “Adaptive Control of Active Balancing Systems for Speed-Varying Jeffcott Rotors with Anisotropic Bearings,” Proceedings of the 2000 Japan-USA Flexible Automation Conference, July 23–26, 2000, Ann Arbor, MI, 2000JUSFA-13204.
Shin,  K., and Ni,  J., 2001, “Adaptive Control of Active Balancing Systems for Speed-Varying Rotors using Feedforward Gain Adaptation Technique,” J. Dyn. Syst., Meas., Control, 123, No. 3. pp. 346–352.
Meirovitch, L., 1967, Analytival Methods in Vibrations, MacMillan, New York.
Khalil, H. K., 1996, Nonlinear Systems, 2nd ed., Prentice Hall, Englewood Cliffs, NJ.
Zhous, K., Doyle, J., and Glover, K., 1996, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, NJ.
Anderson,  B. D. O., 1967, “A System Theory Criterion for Positive Real Matrices,” SIAM J. Control, 5, pp. 171–182.

Figures

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A multi-plane active balancing system
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The equivalent disk with imbalance force and torque
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The equivalent rotor system with imbalance force and torque
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Simulation model for multi-plane active balancing system
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Mode shapes and critical speeds of the model
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Rotor speed profile of the model
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Controlled vibrations with different gains (case 1)
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Counter imbalance movements (case 1)
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Controlled vibrations with different gains (case 2)
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Counter-imbalance movements (case 2)
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Simulation results (case 3)

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